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Steinbring H. — Construction of New Mathematical Knowledge in Classroom Interaction: An Epistemological Perspective |
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Предметный указатель |
Abstraction 82 100 101
Activity 7 15 19 23 35 36 50 83 88 90 155 183 185
Algebra xii 82 178
Algorithmic justification 191 192 194 203 206 207 210
Argument xi xii 19 32 40 61 65 73 76 87 110 111 112 113 115 116 117 119 121 122 131 141 142 159 161 165 167 171 174 175 176 188 189 190 191 192 193 194 195 196 197 198 199 200 202 204 205 206 208 209 210 212 213 214 217
Argumentation xi xii 32 40 61 73 76 87 113 122 131 141 142 159 167 188 189 190 191 192 193 194 195 196 198 205 208 209 210 212 213 217
Autonomous system 13 55
Autopoietic system 9 51 55 56 58 62 72 78
Axioms 24 65 179 180 190 219
Baraldi, C. 52 53 63 71 73 74 76 223
Bartolini Bussi, M.G. 225 227 228
Bauersfeld, H. xi 18 19 20 33 34 47 74 75 76 223 224
Bekemeier, B. 189 223
Bereiter, C. 62 64 67 81 223
Bernoulli’s theorem 28 29
Bickhard, M.H. 62 223
Biehler, R. 223 227
Bishop, A. 17 223 224
Borel, E. 29 223
Bourbaki, N. 14 16 223
Bromme, R. 47 88 223
Brosseau, G. 223 224
Bruner, J. 34 224
Cassirer, E. 19 82 224
Changeux, J.-P. 36 224
Circularity 29
Classroom interaction 13 18 21 33 35 36 46 47 48 50 55 56 61 64 74 76 140 162 214
Cobb, P. 18 19 33 34 82 187 223 224
Cognitive psychology 33
Coherent xi 7 11 15 16 19 69 89 214
Communication xi xii 2 3 4 5 8 9 13 14 15 27 35 36 37 46 47 48 50 51 52 53 54 55 56 57 58 59 61 62 63 64 71 72 73 74 75 76 77 78 79 80 84 85 86 94 121 166 179 180 181 183 184 185 186 187 188 189 190 191 192 194 195 202 203 205 209 210 212 217 219 220 221
Communication concept 48 51
Complementarity 56 121 186
Conceptual relation 69 118 132 178 179 180 184 189 190 191 196 198 200 202 203 205 206 207 210 214
Connes, A. 36 224
Consciousness 9 51 52 53 63 72 73 74 190 221
Consistent base knowledge 5 181 215
Constructivism 33 62
Corsi, G. 52 53 63 71 73 74 76 223
Coulthard, R. 39 226
Cultural object 36
Culture xii 2 7 8 11 16 17 18 19 20 21 32 33 56 64 179 183 185 219 220
Culture, mathematical 8
Davis, P. 183 224
Dehaene, S. 36 84 224
Deictic 117 138 140 184
Design 16 19 25 79 88 101 221
Diagram 12 21 23 26 117 137 138 144 171 188 190 196 198 202 203 205 206 210 212
Discourse 37 57
Dorfler, W. 64 224
Duval, r. 20 30 72 224
Eccles, P.J. 68 224
Embodiment 28 46 81 82 186
Embody 11 30 81
Empirical foundation 21
Empirical justification 51 180 205 212 213
Empirical situatedness 83 180 181 212 213
Epistemological structure 18 40 47 86
Epistemologically-oriented 13 21 33 36 38 39 40 48 49 50 65 95
equation 108 125 126 130 132 202
Equations 96 100 184 219
Esposito, E. 52 53 63 71 73 74 76 223
Ethnographic perspective 18
Ethnomethodology 34
Everyday communication 9 183
Exercise system 89
Figurate numbers 85 89 96 98 99 100 102 147 155 177 210
Fragility 82 212
Frege, G. 23 24 27 224
Freudenthal, H. 15 16 19 185 224
Funnel pattern 47 74
G.H., Muller 68 88 89 92 96 225 228
General communication 9 57 64 219
Generalization 65 68 81 83 114 115 180 197 198 200 213
Geometry 4
gesture 21
Glasersfeld, E.von 33 224
Goodman, N. 224
Harten, G.von 88 224
Haussmann, K. 223
Heintz, B. xi 12 13 14 71 72 73 74 76 189 190 191 224
Hersh, R. 36 183 224
Heymann, H.-W. 223
Hiebert, J. 185 186 227
Hoffmann, M. 62 224
Icon 21
Independent relational justification 191 192 194
Individual-psychological perspective 33
Indurkhya, B. 12 67 224
information 52 53 54 55 71 76 77 87 88 89 114 127 180 214
Instructional communication 1 7 38 58 59 61 74 85 178 186 190 191 192 194 219 220
Interaction pattern 34 64
Interaction theory 34 56
Jahnke, H.N. 20 66 84 189 224 225
Jungwirth, H. 33 39 225
Keyser, C.J. 19 225
Knorr-Cetina, K.D. 11 225
Knowledge constructio xii 4 5 8 47 59 63 65 79 83 86 88 89 108 110 118 119 121 122 123 126 130 132 136 137 142 144 146 151 153 159 160 161 162 175 176 178 179 180 181 188 191 194 195 196 197 198 199 200 201 202 203 204 206 207 209 210 211 212 213 214 215 216 217 219 220
Knowledge development 9 30 33 35 51 66
Krainer, K. 88 89 225
Krauthausen, G. 89 92 225
Krishner, D. 223
Krummheuer, G. 33 34 35 40 74 75 223 225
Lakoff, G. 31 32 82 225
Language ix 14 15 20 52 53 54 183
Lave, J. 11 225
Lawler, R.W. 11 225
Learning environment xii 1 4 6 13 85 88 89 90 92 93 95 96 99 100 101 102 133 147 155 162 184 185 202 217 219
Learning paradox 61
Lerman, S. 226 228
Loeve, M. 29 225
| Logical structure 64 65 66 67 68 69 70 71 78 79 80 82 198
Lorenz, J.H. 100 223 225
Luhmann, N. 3 9 13 48 51 52 53 54 55 56 62 66 71 73 77 78 192 225
Maier, H. 33 47 225 226 227
Maistrov, L.E. 226
Mason, J. 82 187 224 226
Mathematical communication xi xii 3 5 7 8 9 15 27 34 35 38 39 48 51 55 56 57 58 59 61 72 74 76 78 81 87 101 177 180 186 188 189 190 191 192 194 200 211 214 217 219 220
Mathematical idea analysis 31
Mathematical meaning 2 4 5 8 25 27 31 34 37 46 47 51 58
Mathematical process 15 82
Mathematical product 15 32
Mathematical relation 5 19 31 67 68 69 70 78 80 81 82 108 117 118 122 131 132 140 178 192 199 201 217
Mathematical understanding 1 185
Mathematician xi 12 15 16 17 36 65 190
Maturana, H.R. 51 226
Mediation 8 15 21 22 26 28 29 30 31 55 63 72 73 74 88 108 118 123 132 142 147 154 160 161 167 175 179 183 184 185 188 194 212 213
Mehan, H 39 226
Mental object 28 30 36
Message 52 53 54 55 71 76 77 79 192
Metaphor 31 32 63
Miller, M. 61 62 193 197 215 216 226
Mises, R.von 24 226
Nature of mathematics 14
Negotiation 15 18 32 37 65
Neth, A. 26 226
Noth, W. 21 53 226
Nuftez, R.E. 31 32 63 82 225 226
Number line 26 40
Ogden, C.K. 23 24 27 226
Ontological 70 71 80 190 201 210 211
Ontology 66 67 68 69 70 71 78
Otte, M. 20 21 27 29 82 96 184 224 225 226
Paradaox of old and new knowledge 64 193
Paradox between justification and development 64
Paradox of instructional mathematical communication 76
Paradoxical character of mathematical knowledge 20 65
Philosophy of language 20 23
Pimm, D. 82 187 226
practice 1 7 11 12 13 17 18 27 32 57 58 74 76 89 101 179 186 219 220
Practicing 89
Presmeg, N. 106 226
Prime number 65 67 68 70
probability 8 19 24 25 28 29 32 223 224
Problem structure (of an episode) 40
Productive mathematical exercises 88
proof xi 14 15 65 66 72 73 74 76 189 190
Psychic 51 52 62 72 73
Pure mathematics 11
Radford, L. 183 184 226
Reib, V. 223
Reiss, M. 223
Relational concept 19
Relational generality 59 180 181 194 205
Representation 27 42 43 44 62 80 99 100 122 140 174 176 177 188 201 207 215
Research approach 8 12 13 34 35 36 38 40 52 55 56
Research question 1 11 38 40 57 61 64 219
Resnik, M.D. 28 226
Richards, F.A. 23 24 27 226
Rotman, B. 30 65 66 226
Saussure 9 15 53 54 55 78 226
Scherer, P. 92 226
Scholz, R.W. 223 227
Searle, J.R. 36 67 226
Seat work 38
Seeger, F. 88 223 224 227
Semiotic mediation 22
Semiotic model 55 56 78 106 107
Semiotic representation 20
Sierpinska, A. ix 225 227 228
Sinclair, J. 39 226
Situated cognition 11
Situatedness xii 59 80 81 82 86 186 196 212 220
Situation-bound relational justification 196 198 200 201 209
Social xi 7 9 11 12 13 16 18 23 24 34 35 36 37 40 46 47 48 51 52 54 55 56 57 58 62 63 64 65 68 70 72 73 74 76 77 78 80 81 83 84 87 167 177 179 183 185 193
Social construction 7 47 56 63 177
Social epistemology 34 35 40 56
Social fact 36 56 78
Solomon, Y. 34 226
Steinbring, H. iii ix xiii 18 21 22 23 24 29 30 33 37 38 39 46 47 81 88 101 186 223 224 225 226 227 228
Stigler, J.W. 185 186 227
Stoffdidaktik 33 34 227
Strafier, R. 223 227
Substance concept 19 20
Substantial learning environment 79 88 89 92 94 96
Sutherland, R. 224
Symbolic representation 84 115
Symbolically generalized communication media 71 73
Syntactical 44 45
Teaching unit xiii 16 85 89 90 168 205
Theoretical foundation 2 3 4 8 55 59 86
Theoretical glasses 2 3 39 85 101
Theoretical knowledge 11 19 32 36 84 219
Theoretical microscope 2 3 40 86 102
Thousands book 40 41 42 43 44 45
Time structure (of an episode) 40
Topaze effect 79
Uniform mathematics 14 15
Varela, F.J. 51 226
Visualization 40 46 47 73 74 100 122 189
Voigt, J. 18 26 33 34 35 39 74 75 223 224 225 226 227
Wagner, R. 18 227
Waschescio, U. 224 227
Wenger, E. 11 225 227
Whiston, J.A. 223
Wilder, R.L. 11 17 18 227
Winkelmann, B. 223 227
Winter, H. 87 89 96 227 228
Wittmann, E.C. 16 17 68 79 87 88 89 90 92 96 101 228
Wollring, B. 39 225
Wood, T. 34 74 80 224 228
Yackel, E. 18 34 224
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